par Duerinckx, Mitia 
;Saint-Raymond, Laure
Référence Probability and Mathematical Physics, 2, 1, page (27-69)
Publication Publié, 2021-01-01
;Saint-Raymond, LaureRéférence Probability and Mathematical Physics, 2, 1, page (27-69)
Publication Publié, 2021-01-01
Article révisé par les pairs
| Résumé : | In the mean-field regime, the evolution of a gas of N interacting particles is governed in first approximation by a Vlasov type equation with a self-induced force field. This equation is conservative and describes return to equilibrium only in the very weak sense of Landau damping. However, the first correction to this approximation is given by the Lenard–Balescu operator, which dissipates entropy on the very long timescale O(N). We show how one can derive rigorously this correction on intermediate timescales (of order O(Nr) for r < 1) close to equilibrium. |
